SOLUTION: A light post whose base is 30 ft from a 4 story building has fallen over. If the tip of the post is resting on the roof of the building, how tall is the post? (1 story = 10 ft)

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A light post whose base is 30 ft from a 4 story building has fallen over. If the tip of the post is resting on the roof of the building, how tall is the post? (1 story = 10 ft)       Log On

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Question 888363: A light post whose base is 30 ft from a 4 story building has fallen over. If the tip of the post is resting on the roof of the building, how tall is the post? (1 story = 10 ft)
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
The building is 40 feet tall. That's one side of your right triangle. The post is 30' from the building. That's your second side. You're asked to find the hypotenuse in this triangle.
a%5E2+b%5E2=c%5E2
40^2 + 30^2 = c%5E2
1600 + 900 = c%5E2
2500 = c%5E2
Take the square root of each side to get
50 = c
The pole is 50 feet long.